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Finding the Fourth Proportional to 2,947.56, 4,068 and 1,769.28

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Solution

The fourth proportional to 2,947.56, 4,068 and 1,769.28 is: 2,441.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,947.56 : 4,068 = 1,769.28 : x
  2. Step 2: Convert to fraction form
    2,947.56/4,068 = 1,769.28/x
  3. Step 3: Cross multiply
    2,947.56x = 4,068 × 1,769.28
  4. Step 4: Simplify right side
    2,947.56x = 7,197,431.04
  5. Step 5: Solve for x
    x = 7,197,431.04/2,947.56
  6. Step 6: Final answer
    x = 2,441.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.